[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-15505":3,"doc-seo-15505":27},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"file_id":15,"file_url":16,"file_type":17,"file_size":18,"view_count":19,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"table_of_contents":24,"faqs":24,"seo_title":13,"seo_description":14,"update_tm":25,"read_time":26},15505,13056703019404,"Miles","https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0",8,"Research & Report","Multifractal Analysis on the Attractors of Perturbed Iterated Function Systems","Perturbed iterated function systems generate attractors as perturbed fractal interpolation functions by perturbing the vertical scaling parameter. The work develops calculus for perturbed fractal functions and, under necessary conditions on the perturbation parameter, shows how the integral of a perturbed fractal interpolation yields a different perturbed fractal function interpolating a different dataset. Perturbed fractal splines generalize classical fractal splines, and multifractal measures quantify heterogeneous distributions of the newly developed functions.","cbCainyKHytPLgro","https://ap.wps.com/l/cbCainyKHytPLgro","pdf",1274145,12,1,14,"English","en","",1776562427,35,{"code":4,"msg":28,"data":29},"ok",{"site_id":30,"language":23,"slug":31,"title":13,"keywords":24,"description":14,"schema_data":32,"social_meta":67,"head_meta":70,"extra_data":72,"updated_unix":25},105,"multifractal-analysis-on-the-attractors-of-perturbed-iterated-function-systems",{"@graph":33,"@context":66},[34,51],{"@type":35,"itemListElement":36},"BreadcrumbList",[37,41,45,48],{"item":38,"name":39,"@type":40,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":42,"name":43,"@type":40,"position":44},"https://docshare.wps.com/document/","Document",2,{"item":46,"name":12,"@type":40,"position":47},"https://docshare.wps.com/document/research-report/",3,{"item":49,"name":13,"@type":40,"position":50},"https://docshare.wps.com/document/multifractal-analysis-on-the-attractors-of-perturbed-iterated-function-systems/15505/",4,{"url":49,"name":13,"@type":52,"author":53,"headline":13,"publisher":55,"fileFormat":58,"description":14,"dateModified":59,"datePublished":60,"encodingFormat":58,"isAccessibleForFree":61,"interactionStatistic":62},"DigitalDocument",{"name":9,"@type":54},"Person",{"url":38,"name":56,"@type":57},"DocShare","Organization","application/pdf","2026-06-04","2026-04-19",true,{"@type":63,"interactionType":64,"userInteractionCount":19},"InteractionCounter",{"@type":65},"ViewAction","https://schema.org",{"og:url":68,"og:type":69,"og:title":13,"og:site_name":56,"og:description":14},"https://docshare.wps.com/document/multifractal-analysis-on-the-attractors-of-perturbed-iterated-function-systems/15505","article",{"robots":71,"canonical":68},"index,follow",{"doc_id":7,"site_id":30}]